Re: N versus N-1 [Was: Another Standard Deviation question]

2000-09-26 Thread Karl L. Wuensch
I am unaware of others' objections to using N-1 as the denominator of sample variance to eliminate bias in the estimation of population variance, but I can note one "fly in the ointment." Unbiasedness is defined on the expected value (mean) of the sampling distribution, not the median, and the di

Re: N versus N-1 [Was: Another Standard Deviation question]

2000-09-26 Thread John W. Kulig
  Claudia Stanny wrote:   I will also confirm John Kulig's comment that while the variance (computed using N-1) is an unbiased estimator of the population variance, the square root of the variance (SD computed using N-1) is _not_ and unbiased estimator of the population SD.  I've forgotten the ma

Re: N versus N-1 [Was: Another Standard Deviation question]

2000-09-25 Thread John W. Kulig
Tipsters: I found more information on the N-1 issue. Here is the _logic_ of "N-1". Quotes are from Toothaker's "Introductory Statistics", 1996, edition 2, Brooks/Cole (note: X-bar = mean of a sample). Take the top half of the variance formula: ADD (X - Mu)^2. Since we do not know Mu, we substi

RE: N versus N-1 [Was: Another Standard Deviation question]

2000-09-25 Thread Claudia Stanny
Michael Quanty asks: > >Why is 1 the magic number? I see how it makes more radical corrections for >smaller sample sizes. But was it chosen for a theoretical or practical >considerations. > The intuitive explanation is that the variance is computed on the deviations of scores around the mean, w

RE: N versus N-1 [Was: Another Standard Deviation question]

2000-09-25 Thread QuantyM
Why is 1 the magic number? I see how it makes more radical corrections for smaller sample sizes. But was it chosen for a theoretical or practical considerations. Michael S: Don't even think about referring me to Three Dog Night. Michael B. Quanty, Ph.D. Psychology Professor Senior Institutiona